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Finding the Third Proportional to 135,294 and 293,916

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Solution

The third proportional to 135,294 and 293,916 is: 638,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,294 : 293,916 = 293,916 : x
  2. Step 2: Convert to fraction form
    135,294/293,916 = 293,916/x
  3. Step 3: Cross multiply
    135,294x = 293,916 × 293,916
  4. Step 4: Simplify right side
    135,294x = 86,386,615,056
  5. Step 5: Solve for x
    x = 86,386,615,056/135,294
  6. Step 6: Final answer
    x = 638,510.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.